1 answer:
Answer:
C.
Step-by-step explanation:
Find the rate of change/slope (m) using two pairs (1, 8) and (2, 12):
(Note: M(x) = y)
Find y-intercept (b) by substituting x = 1, M(x) = 8, and m = 4 in M(x) = mx + b.
Thus:
8 = (4)(1) + b
8 = 4 + b
Subtract 4 from each side
8 - 4 = b
4 = b
b = 4
substitute m = 4, and b = 4 in M(x) = mx + b, to get the equation that models the relationship.
The equation would be:
✅
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Answer: 220
<u>Step-by-step explanation:</u>
Children (x): $2
Teens (y): $3,
Adults: (z): $5
Quantity: x + y + z = 570 ⇒ x + + z = 570 ⇒ 1.75x + z = 570
Cost: 2x + 3y + 5z = 1950 ⇒ 2x + 3 + 5z = 1950 ⇒ 2x + 2.25x + 5z = 1950 ⇒ 4.25x + 5z = 1950
Qty: 1.75x + z = 570 → 5(1.75x + z = 570) → 8.75x + 5z = 2850
Cost: 4.25x + 5z = 1950 → -1(4.25x + 5z = 1950 → <u> -4.25x - 5z</u> = <u>-1950 </u>
4.50x = 900
x = 200
Teens (y):
y =
=
= 150
Quantity: x + y + z = 570
200 + 150 + z = 570
350 + z = 570
z = 220
Answer:
The third option (9+-
-
)
Step-by-step explanation:
With FOIL, this can be expanded. (a+b)(a-b) is equal to a²+ab-ab-b² or a²-b².
In this case, all the answers have 4 terms, so we want the first option. This makes the equation 3²+(3×)-(3×
)-(
)².
Solving these gives 9+-
-7. This is the same as 9+
-
-
.
**This content involves multiplying with surds and expanding perfect squares, which you may wish to revise. I'm always happy to help!